The Joint entrance examination (JEE) is an all
India level examination conducted by the Indian Institute of Technology (IITs)
and the central board of secondary education (CBSE). The candidates aspiring to
secure admission to the prestigious and premier institutions in India such as
IIT, IISc, ISM and IIISER are required to clear the JEE-main entrance and
JEE-advanced entrance examination. Thre are two phases of examination for JEE.

One of the key subjects holding more weightage
in the IIT JEE exam, Mathematics covers all aspects of algebra, geometry,
trigonometry and calculus. The main topics that are completely part of the
syllabus are given below. Trigonometry, Quadratic equations, Symmetric functions of
roots, Logarithms and their properties, Vectors, Permutations and combinations, Binomial theorem
and matrix operations, Probability, Analytical geometry, Differential and Integral calculus.

JEE main entrance is the first phase of the
JEE examination. JEE advanced is the second phase of the examination. The
syllabus for the JEE advanced level is given below.

General

Units and dimensions, Dimensional analysis, Least
count, Significant figures, Methods of measurement and error analysis for
physical quantities pertaining to the following experiments: Experiments based
on using Vernier calipers and screw gauge (micrometer), Determination of g
using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a
liquid using calorimeter, Focal length of a concave mirror and a convex lens
using u-v method, Speed of sound using resonance column, Verification of Ohm’s
law using voltmeter and ammeter, and specific resistance of the material of a
wire using meter bridge and post office box.

Coulomb’s law; Electric field and potential;
Electrical potential energy of a system of point charges and of electrical
dipoles in a uniform electrostatic field; Electric field lines; Flux of
electric field; Gauss’s law and its application in simple cases, such as, to
find field due to infinitely long straight wire, uniformly charged infinite
plane sheet and uniformly charged thin spherical shell, Capacitance; Parallel
plate capacitor with and without dielectrics; Capacitors in series and
parallel; Energy stored in a capacitor, Electric current; Ohm’s law; Series and
parallel arrangements of resistances and cells; Kirchhoff’s laws and simple
applications; Heating effect of current, Biot–Savart’s law and Ampere’s law; Magnetic
field near a current-carrying straight wire, along the axis of a circular coil
and inside a long straight solenoid; Force on a moving charge and on a
current-carrying wire in a uniform magnetic field, Magnetic moment of a current
loop; Effect of a uniform magnetic field on a current loop; Moving coil
galvanometer, voltmeter, ammeter and their conversions, Electromagnetic
induction.